(y-2)(x+7)-(-3x-1)(x-7)=

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Solution for (y-2)(x+7)-(-3x-1)(x-7)= equation: 


Simplifying
(y + -2)(x + 7) + -1(-3x + -1)(x + -7) = 0

Reorder the terms:
(-2 + y)(x + 7) + -1(-3x + -1)(x + -7) = 0

Reorder the terms:
(-2 + y)(7 + x) + -1(-3x + -1)(x + -7) = 0

Multiply (-2 + y) * (7 + x)
(-2(7 + x) + y(7 + x)) + -1(-3x + -1)(x + -7) = 0
((7 * -2 + x * -2) + y(7 + x)) + -1(-3x + -1)(x + -7) = 0
((-14 + -2x) + y(7 + x)) + -1(-3x + -1)(x + -7) = 0
(-14 + -2x + (7 * y + x * y)) + -1(-3x + -1)(x + -7) = 0

Reorder the terms:
(-14 + -2x + (xy + 7y)) + -1(-3x + -1)(x + -7) = 0
(-14 + -2x + (xy + 7y)) + -1(-3x + -1)(x + -7) = 0
(-14 + -2x + xy + 7y) + -1(-3x + -1)(x + -7) = 0

Reorder the terms:
-14 + -2x + xy + 7y + -1(-1 + -3x)(x + -7) = 0

Reorder the terms:
-14 + -2x + xy + 7y + -1(-1 + -3x)(-7 + x) = 0

Multiply (-1 + -3x) * (-7 + x)
-14 + -2x + xy + 7y + -1(-1(-7 + x) + -3x * (-7 + x)) = 0
-14 + -2x + xy + 7y + -1((-7 * -1 + x * -1) + -3x * (-7 + x)) = 0
-14 + -2x + xy + 7y + -1((7 + -1x) + -3x * (-7 + x)) = 0
-14 + -2x + xy + 7y + -1(7 + -1x + (-7 * -3x + x * -3x)) = 0
-14 + -2x + xy + 7y + -1(7 + -1x + (21x + -3x2)) = 0

Combine like terms: -1x + 21x = 20x
-14 + -2x + xy + 7y + -1(7 + 20x + -3x2) = 0
-14 + -2x + xy + 7y + (7 * -1 + 20x * -1 + -3x2 * -1) = 0
-14 + -2x + xy + 7y + (-7 + -20x + 3x2) = 0

Reorder the terms:
-14 + -7 + -2x + -20x + xy + 3x2 + 7y = 0

Combine like terms: -14 + -7 = -21
-21 + -2x + -20x + xy + 3x2 + 7y = 0

Combine like terms: -2x + -20x = -22x
-21 + -22x + xy + 3x2 + 7y = 0

Solving
-21 + -22x + xy + 3x2 + 7y = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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